Laser- Accelerated Proton Beams and their Medical Applica6ons By Eric Sacks
Contents 1) Basics of charged par6cle interac6ons in ma@er. 2) Proton- Therapy 3) Laser- Accelera6on method for producing Proton Beams for Proton- Therapy.
Basic Concepts Stopping Power Stopping power describes the energy loss of a par6cle per unit length as it travels through a target. Charged par6cles ionize the atoms of the target as they pass through, losing energy (slowing down) with each ioniza6on.
Basic Concepts Stopping Power Inelas6c Electron Stopping dominates for high energies Elas6c Nuclear Stopping dominates as par6cle slows down. This effect is also related to par6cle size.
Stopping Power Bethe Formula Shows decrease in stopping power as the charged par6cle s energy increases. Oppositely, the slower the par6cle, the more stoppage (velocity decreases at decreasing rate). As par6cle slows down, rela6vis6c formula simplifies and stopping power follows a general 1/v^2 rela6onship.
Bragg Curves and Bragg Peak Named for William Henry Bragg Bragg curves plot stopping power (energy loss per unit length) vs. the distance the par6cle has traveled. Bragg no6ced that a peak occurs right before the par6cle comes to a rest. These are called Bragg Peaks.
Bragg Curves and Bragg Peak As par6cle slows down, interac6on cross sec6on increases. Increase in interac6ons causes an accelera6ng stopping power that reaches a peak just before par6cle comes to rest. Bragg Curve for a generic charged par6cle à
Bragg Peaks and Dosage Rela6ve dosage graphs follow same pa@ern of Bragg Curve. Shows percentage of maximum dose (energy deposited per mass) as par6cle travels in medium. Sharpness of proton s Bragg curve implies a concentrated dose given in a small range, and li@le dose elsewhere. Image - h@p://www.oncoprof.net/ Generale2000/g08_Radiotherapie/ gb08_rt25.html
Medical Applica6ons Proton beam deposits most of its energy in a small spa6al range, and deposits li@le elsewhere. The sharp Bragg Peak for protons makes them useful for irradia6ng tumors while preven6ng damage to surrounding 6ssue. Image - Wikipedia
Medical Applica6ons Loca6on of the Bragg Peak slides with beam energy. Width of Bragg peak is generally smaller than the tumor. SOBP is used to irradiate larger tumor. Requires energy spectrum for incident proton beam. Typical energies 70-250 MeV.
Advantages of Proton Therapy Proton therapy provides a very localized radia6on treatment to eradicate tumors. Much more precise compared to conven6onal radiotherapy (photon therapy). Sharp Bragg peaks concentrate dose and limit side effects caused by irradia6ng healthy 6ssue. Ex. Proton therapy for ocular tumors High dose with high precision is needed.
X- ray treatment on the right. Proton beam therapy on the lef. Taheri- Kadkhoda et al. Radia6on Oncology 2008 3:4 doi:10.1186/1748-717x- 3-4
Dynamic Diagrams
Where do Proton Beams for Medical Therapy Come From? Currently the answer is strictly par6cle accelerators Synchrotrons and Cyclotrons! 41 Proton Therapy facili6es. Only.8% of all Radiotherapy systems worldwide. Hitachi Proton Therapy Synchroton
Why Hasen t it caught on? Answer TREATMENT IS INCREDIBLY EXPENSIVE! Facili6es cost $100M - 200M Each Cost of up to $100,000 per treatment. Many 6mes greater than cost of alterna6ves. It can be said that current costs outweigh benefits of proton therapy. Cheaper method for producing protons is needed.
Solu6on? Laser- Accelerated Proton Beams Isochoric hea6ng of ma@er by laser- accelerated high- energy protons - An6ci, et al.
TNSA Target Normal Sheath Accelera6on Short and Intense laser pulse (TW, ps) incident on target creates plasma on target s front surface. Electrons move from front to rear surface due to Ponderomo6ve Force and energy deposi6on. Target normal sheath accelera6on: theory, comparison with experiments and future perspec6ves - Passoni et al.
TNSA Target Normal Sheath Accelera6on Ponderomo6ve force displaces electrons away from incident laser towards rear. Laser directly energizes a popula6on of hot collisionless electrons that form electron cloud extending off back surface. Electrons move
TNSA Target Normal Sheath Accelera6on Extremely high charge density - creates E- field as high as 10 12 V/m near rear surface. Protons/ions on rear surface accelerate towards electrons and are ejected from target. Depending on experiment, protons originate from target material itself or from hydrocarbon layer deliberately put on surface of target (exhale on target seriously!).
Theore6cal calcula6ons on proton energies. >100MeV (not shown) are possible with technique. 70-250MeV is range needed for tumor destruc6on.
Advantages Laser accelerators can cost only $10-20M (10x less than current par6cle accelerators used. Low price per laser shot* In the next decade, we hope to achieve as high as 300MeV proton beams and make proton therapy the standard in tumor eradica6on due to low costs and high precision. Note TNSA is also being looked into for ini6a6ng ICF reac6ons and for other basic accelerator applica6ons.
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The End